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One-loop Scattering Equations and Amplitudes from Forward Limit

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arxiv 1508.06027 v1 pith:EJPXWRAO submitted 2015-08-25 hep-th

Song He , Ellis Ye Yuan This is my paper · ORCID
classification hep-th
keywords equationsforwardlimitone-loopscatteringamplitudesyieldsargue
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that the forward limit of tree-level scattering equations with two massive particles yields the SL(2,C)-covariant form of the one-loop scattering equations recently proposed by Geyer et al. We clarify several properties about these equations and the formulas at one loop. We then argue that in the bi-adjoint scalar theory, such forward limit yields the correct one-loop massless amplitudes, which leads to a new formula for the latter.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 91 citations worldwide. Full citation record

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    Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.

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    hep-th 2023-11 unverdicted novelty 6.0 of 10

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    hep-th 2022-01 unverdicted novelty 6.0 of 10

    New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.

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    Gluon-loop one-loop EYM integrands expand into quadratic-propagator one-loop YM integrands with the same coefficients as the YMS expansion, provided the forward-limit expansion coefficients obey the one-loop consisten...

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